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DOI10.1073/pnas.2010416117
Chaos in a simple model of a delta network
Salter G.; Voller V.R.; Paola C.
发表日期2020
ISSN0027-8424
起始页码27179
结束页码27187
卷号117期号:44
英文摘要The flux partitioning in delta networks controls how deltas build land and generate stratigraphy. Here, we study flux-partitioning dynamics in a delta network using a simple numerical model consisting of two orders of bifurcations. Previous work on single bifurcations has shown periodic behavior arising due to the interplay between channel deepening and downstream deposition. We find that coupling between upstream and downstream bifurcations can lead to chaos; despite its simplicity, our model generates surprisingly complex aperiodic yet bounded dynamics. Our model exhibits sensitive dependence on initial conditions, the hallmark signature of chaos, implying long-term unpredictability of delta networks. However, estimates of the predictability horizon suggest substantial room for improvement in delta-network modeling before fundamental limits on predictability are encountered. We also observe periodic windows, implying that a change in forcing (e.g., due to climate change) could cause a delta to switch from predictable to unpredictable or vice versa. We test our model by using it to generate stratigraphy; converting the temporal Lyapunov exponent to vertical distance using the mean sedimentation rate, we observe qualitatively realistic patterns such as upwards fining and scale-dependent compensation statistics, consistent with ancient and experimental systems. We suggest that chaotic behavior may be common in geomorphic systems and that it implies fundamental bounds on their predictability. We conclude that while delta “weather” (precise configuration) is unpredictable in the long-term, delta “climate” (statistical behavior) is predictable. © 2020 National Academy of Sciences. All rights reserved.
英文关键词Attractor; Bifurcation; Geomorphic models; Prediction
语种英语
scopus关键词article; climate change; compensation; controlled study; prediction; sedimentation rate; stratigraphy; weather
来源期刊Proceedings of the National Academy of Sciences of the United States of America
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/160747
作者单位Salter, G., Department of Earth and Environmental Sciences, St. Anthony Falls Laboratory, University of Minnesota, Minneapolis, MN 55414, United States; Voller, V.R., Department of Civil, Environmental, and Geo- Engineering, St. Anthony Falls Laboratory, University of Minnesota, Minneapolis, MN 55414, United States; Paola, C., Department of Earth and Environmental Sciences, St. Anthony Falls Laboratory, University of Minnesota, Minneapolis, MN 55414, United States
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Salter G.,Voller V.R.,Paola C.. Chaos in a simple model of a delta network[J],2020,117(44).
APA Salter G.,Voller V.R.,&Paola C..(2020).Chaos in a simple model of a delta network.Proceedings of the National Academy of Sciences of the United States of America,117(44).
MLA Salter G.,et al."Chaos in a simple model of a delta network".Proceedings of the National Academy of Sciences of the United States of America 117.44(2020).
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